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Q8×C97 #11715905
Aliases
Subgroups
12 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 105 points:
(1,2,3,4)(5,8,7,6)(9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105);(1,5,3,7)(2,6,4,8)
Conjugacy classes & character table
485 conjugacy classes — view the full character table.
Relationships
| Fitting subgroup of | #13095498, #13095501, Q8×D97, … |
| maximal subgroup of | SD16×C97, Q16×C97, C2×Q8×C97, … |
| maximal normal subgroup of | SD16×C97, Q16×C97, C2×Q8×C97, … |
| maximal quotient of | C4⋊C4×C97, C2×Q8×C97 |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(776, 11);
Finite Group Databasebeta